To find the slope of the line given by the equation 5y – x = 3, we first need to rewrite the equation in slope-intercept form, which is y = mx + b. In this format, m represents the slope and b represents the y-intercept.
Let’s start by isolating the term with y:
1. Add x to both sides:
5y = x + 3
2. Now, divide every term by 5:
y = (1/5)x + 3/5
Now the equation is in slope-intercept form. From this equation, we can determine the slope:
Thus, the slope (m) of the line is 1/5.
In summary, the slope of the line represented by the equation 5y – x = 3 is 1/5.